Modular number systems in the complex plane

• Autorzy: Selyaninov M.
• Języki publikacji: EN

Abstrakty

EN

In the present paper, we consider methods of constructing modular number systems (MNS), named also as residue number systems, in the complex plane. The structure of complete sets of residues (CSR) with respect to complex modulo is investigated. For its creation, the effective constructive rule realizing isomorphism of the given CSR and an adequate ring of real integer residues is proposed.

Słowa kluczowe

EN

modular number system; complex plane; complete sets of residues

PL

modularne systemy liczbowe; płaszczyzna zespolona

• Wydawca: Wydawnictwo Uniwersytetu Humanistyczno-Przyrodniczego im. Jana Długosza w Częstochowie
• Czasopismo: Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
• Rocznik: 2010
• Tom: Vol. 15
• Strony: 131--138
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Selyaninov M.

• Institute of Technical Education and Safety Jan Długosz University in Częstochowa al. Armii Krajowej 13/15, 42-200 Częstochowa, Poland

Bibliografia

• [1] I.J. Akushsky, V.M. Amerbaev, I.T. Pak. Bases of Machine Arithmetics of Complex Numbers. Nauka, Alma-Ata, 1970. (In Russian).
• [2] V.M. Amerbaev, I.T. Pak. Parallel Calculation in Complex Plane. Nauka, Alma-Ata, 1985. (In Russian).
• [3] A.F. Chernyavsky, V.V. Danilevich, A.A. Kolyada, M.Y. Selyaninov. High-speed Methods and Systems of Digital Information Processing. Belgosuniversitet, Minsk, 1996. (In Russian).
• [4] M. Selyaninov. Modular technique of parallel information processing. Scientific Issues of Jan Długosz University of Częstochowa, Ser. Mathematics, XIII, 43-52, 2008.
• [5] A.A. Kolyada, V.V. Revinsky, M.Y. Selyaninov et al. Theoretical bases of modular computing structures on the finite mathematical models. Modern Problems of Optics, Radiation Materials Science, Informatics, Radiophysics and Electronics. Proc. Sci. Research Inst. Appl. Phys. Probl. Belgosuniversitet, Minsk, vol. 2, pp. 4-9, 1996. (In Russian).
• [6] M.Y. Selyaninov. Theoretical bases of modular codification of algebraic systems. Proc. Nat. Acad. Sci. Belarus, No. 1, 114-119, 2002. (In Russian).
• [7] M. Selyaninov. Construction of modular number systems with arbitrary finite ranges. Scientific Issues of Jan Długosz University in Częstochowa, Ser. Mathematics, XIV, 105-115, 2009.